Cover's 2P conjecture

A counterexample to Cover's 2P conjecture on Gaussian feedback capacity

Young-Han Kim

We provide a counterexample to Cover's conjecture that the feedback capacity C_textrm{FB} of an additive Gaussian noise channel under power constraint P be no greater than the nonfeedback capacity C of the same channel under power constraint 2P, i.e., C_textrm{FB}(P) le C(2P).